采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: ''!pvxA
%Display the Zernike function Z(n=5,m=1) KC o<%
clc Ay<'Z6`
clear &|P@$O>
a=5;%%%%%%%%%%Z的阶数下标 |E!()j=
b=1;%%%%%%%%%%Z的阶数的上标 O
z%K*
x = -1:0.01:1; 8%JxXtWW`
[X,Y] = meshgrid(x,x); G5Y5_r6Gu
[theta,r] = cart2pol(X,Y); 8WV1OIL
idx = r<=1; \Q{@AC<?i
z = nan(size(X)); *w4jE T>
z(idx) = zernfun(a,b,r(idx),theta(idx)); S{j|("W"[
figure(1) *Id$%O
pcolor(x,x,z), shading interp 2}]6~i
axis square, colorbar WZ5[tZf
xlabel('X'); k|-`d
ylabel('Y'); I})la!9
title(['Zernike function Z^a_b','(r,\theta)']) }5bh,'
figure(2) >ZkcL7t9
mesh(x,x,z) 0"o<(1
xlabel('X'); B?-RzWB\3
ylabel('Y'); lDV8<
title(['Zernike function Z^a_b','(r,\theta)'])